This is part of a longer course on teaching pre-numeracy at pre-school levels. This course was presented in Manila in May 2012.

1. Course Lecturer
Dr Yeap Ban Har
Marshall Cavendish Institute

2. Pre-Numeracy
Skills

3. e-mail
yeapbanhar@gmail.com
Slides
www.banhar.blogspot.com
www.facebook.com/MCISingapore

4. e-mail
yeapbanhar@gmail.com
Slides
www.banhar.blogspot.com
www.facebook.com/MCISingapore

5. We use numbers in
different ways.
Let’s count the
ways …

6. Rote
Counting
Rational
Counting

7. Counting – cardinal
numbers

8. Cardinal
Numbers
Ordinal
Numbers

9. Nominal
Numbers
Measurement
Numbers

10. Pre-Numeracy
Skills

11. What is involved in
counting?
Let’s take a look…

17. Features of
Singapore Math
Variation

18. Main
Pre-Numeracy Skills
Matching
Sorting

24. Features of
Singapore Math
CPA Approach

30. Integration with
other domains e.g.
art and craft and
literature

32. Features of
Singapore Math
Thinking
Opportunity

36. Course Lecturer
Dr Yeap Ban Har
Marshall Cavendish Institute

37. Number
Bonds

38. e-mail
yeapbanhar@gmail.com
Slides
www.banhar.blogspot.com
www.facebook.com/MCISingapore

43. Number Bonds
The focus on number sense right from the start.
Number bonds is taught before addition.

44. Number Bonds
Number Bonds is
emphasized prior to the learning
of addition.
Children are given, say, 5 unifix
cubes and guided to see that 1
and 4 make 5, for example.
Others may say that 3 and 2
make 5 or 4 and 1 make 5. Yet
others may say that 5 and 0 make
5.
Earlybird Kindergarten Mathematics

45. PCF Telok Blangah Kindergarten

46. One duck is big.
Six ducklings are small.
PCF Telok Blangah Kindergarten

47. PCF Telok Blangah Kindergarten

48. PCF Telok Blangah Kindergarten

49. PCF Telok Blangah Kindergarten

50. PCF Telok Blangah Kindergarten

51. My Pals Are Here! Mathematics
Number Bonds
continues to receive attention in
Grade 1.

57. Features of
Singapore Math
Spiral
Approach

62. Course Lecturer
Dr Yeap Ban Har
Marshall Cavendish Institute

63. Addition &
Subtraction

82. mathz4kidz Learning Centre, Penang, Malaysia
bruner’s theory
concrete
A lesson from Earlybird Kindergarten Mathematics

83. mathz4kidz Learning Centre, Penang, Malaysia
concrete
experiences

84. mathz4kidz Learning Centre, Penang, Malaysia
from
concrete
to
pictorial

85. from
pictorial
to
abstract
All Kids Are Intelligent Series

86. mathz4kidz Learning Centre, Penang, Malaysia
symbols

96. Addition
Facts Facts
Addition are given
emphasis in the first six months
of grade one.
The children learn it in stages as
the textbooks distinguished
between Numbers to 10 and
Numbers to 20.
Count On and Count All are used
in Numbers to 10.
Earlybird Kindergarten Mathematics

97. Addition Facts & Number Sense
While Count On and
Count All are used in
Numbers to 10, Make
Ten is given emphasis in
Numbers to 20.
Princess Elizabeth Primary School
The topics are arranged in a
way that makes learning
progressive and systematic –
this is part of the idea of a
spiral curriculum.

98. Jerome Bruner
Ideas are introduced using concrete materials.
Pictorial representations follow. Finally, children
engage with the abstract symbols. This is called the
CPA Approach in Singapore.